Consider the following two monetary incentives when purchasing a desktop computer at the regular price of $299.

25% Off All Desktops with Regular Price of $200 or More.
$70 Rebate on Any Purchase of $200 or More.
Find the final price of the better incentive, after the discount has been applied. Round the answer to two decimal places.(1 point)
The final price of the computer after the discount from the better incentive has been applied is

1 answer

To determine which incentive provides the better final price for the desktop computer priced at $299, we will calculate the final price for each incentive.

Incentive 1: 25% Off

  1. Calculate 25% of the regular price: \[ 25% \text{ of } 299 = 0.25 \times 299 = 74.75 \]
  2. Subtract the discount from the original price: \[ 299 - 74.75 = 224.25 \]

Incentive 2: $70 Rebate

  1. Since the purchase is $299 (which is more than $200), the $70 rebate applies.
  2. Subtract the rebate from the original price: \[ 299 - 70 = 229 \]

Final Prices

  • Final price with 25% off: $224.25
  • Final price with $70 rebate: $229.00

Better Incentive

The better incentive between the two is the one that gives the lower final price:

  • 25% Off: $224.25
  • $70 Rebate: $229.00

Thus, the final price of the computer after applying the better incentive is: \[ \boxed{224.25} \]